Linear perturbations of a constant coefficient differential equation subject to mild integral smallness conditions
Linear perturbations of differential systems with constant matrices
Linear perturbations of general disconjugate equations
Linear positive operators and their applications to differential equations
Linear problems for systems of difference equations
Linear random boundary value problems containing weakly correlated forcing functions.
Linear second order differential equations with discontinuous coefficients in Hilbert spaces
Linear Singular Parabolic Equations in Banach Spaces.
Linear Stability of Fractional Reaction - Diffusion Systems
Theoretical framework for linear stability of an anomalous sub-diffusive activator-inhibitor system is set. Generalized Turing instability conditions are found to depend on anomaly exponents of various species. In addition to monotonous instability, known from normal diffusion, in an anomalous system oscillatory modes emerge. For equal anomaly exponents for both species the type of unstable modes is determined by the ratio of the reactants' diffusion coefficients. When the ratio exceeds its normal...
Linear stability theory of solitary waves arising from Hamiltonian systems with symmetry
Linear Stieltjes integral equations in Banach spaces
Fundamental results concerning Stieltjes integrals for functions with values in Banach spaces have been presented in [5]. The background of the theory is the Kurzweil approach to integration, based on Riemann type integral sums (see e.g. [3]). It is known that the Kurzweil theory leads to the (non-absolutely convergent) Perron-Stieltjes integral in the finite dimensional case. Here basic results concerning equations of the form x(t) = x(a) +at [A(s)]x(s) +f(t) - f(a) are presented on the basis of...
Linear Stieltjes integral equations in Banach spaces. II. Operator valued solutions
This paper is a continuation of [9]. In [9] results concerning equations of the form x(t) = x(a) +at [A(s)]x(s) +f(t) - f(a) were presented. The Kurzweil type Stieltjes integration in the setting of [6] for Banach space valued functions was used. Here we consider operator valued solutions of the homogeneous problem (t) = I +dt [A(s)](s) as well as the variation-of-constants formula for the former equation.
Linear stochastic differential-algebraic equations with constant coefficients.
Linear uncertain non-autonomous time-delay systems: Stability and stabilizability via Riccati equations.
Lineare zweidimensionale Räume von stetigen Funktionen mit stetigen ersten Ableitungen
Linearisation of second-order differential equations.
Given a second order differential equation on a manifold we find necessary and sufficient conditions for the existence of a coordinate system in which the system is linear. The main tool to be used is a linear connection defined by the system of differential equations.
Linearizability of a polynomial system
Linearization and higher order nonlinear oscillation theorems using comparison methods.
Linearization Of Nonlinear Differential Equations: Third Order Nonlinear Ordinary Differential Equations Equivalent To Linear Second Order Equations
Linearization of second-order ordinary differential equations by generalized Sundman transformations.